Surface instability of a gel disc in swelling
CNRS and Institut Jean le Rond d’Alembert, UMR7190, Place Jussieu 4, Case 162, 75005, Paris, France
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Accepted: 29 January 2013
Published online: 26 February 2013
The swelling of a soft disc made of polymeric gel and attached to a fixed substrate is modeled using a variational method in nonlinear elasticity. A linear stability analysis is performed to detect the onset of a surface instability. An exact solution of the perturbed disc is found, and both the threshold values of the growth rates and the surface morphology are derived analytically.
Key words: Soft Matter: Polymers and Polyelectrolytes
© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2013